Not a challenge-0
From: Alec Mihailovs (alec_at_mihailovs.com)
Date: 02/26/05
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Date: Sat, 26 Feb 2005 06:25:25 GMT
> int(exp(-2*x^2)*erf(x^3),x=0..infinity);
/ 1/2 1/2
1/2 | 1/2 2 1/2 1/2 2 4 2 3
1/12 3 |6 Pi - 4/3 2 3 Pi BesselJ(1/3, -----------)
\ 9
1/2 1/2
2 4 2 3 3
+ 16/3 Pi BesselJ(4/3, -----------) + 8/9 Pi
9
1/2 1/2
4 2 3
BesselJ(1/3, -----------)
9
/ 1/2 1/2 1/2 1/2 \
| 1/2 4 2 3 4 2 3 |
|-3 AngerJ(4/3, -----------) - WeberE(4/3, -----------)|
\ 9 9 /
- 16/3
1/2 1/2 1/2 1/2
2 4 2 3 4 2 3
Pi BesselJ(4/3, -----------) LommelS1(1, 1/3, -----------)
9 9
1/2 -8
+ 8/3 Pi 3 hypergeom([1/2, 1], [2/3, 4/3, 3/2], --)
27
1/2 1/2
16 2 4 2 3 16
- -- Pi BesselJ(2/3, -----------) + --
15 9 15
1/2 1/2 1/2 1/2
2 4 2 3 4 2 3
Pi BesselJ(2/3, -----------) LommelS1(1, 5/3, -----------)
9 9
1/2 1/2
3 4 2 3
- 8/9 Pi BesselJ(5/3, -----------)
9
/ 1/2 1/2 1/2 1/2 \\
| 1/2 4 2 3 4 2 3 ||
|3 AngerJ(2/3, -----------) - WeberE(2/3, -----------)||
\ 9 9 //
/ 3/2
/ Pi
/
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